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Finding the Fourth Proportional to 610,569,921.20, 842,509,833.72 and 412,761,717.68

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Solution

The fourth proportional to 610,569,921.20, 842,509,833.72 and 412,761,717.68 is: 569,559,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,569,921.20 : 842,509,833.72 = 412,761,717.68 : x
  2. Step 2: Convert to fraction form
    610,569,921.20/842,509,833.72 = 412,761,717.68/x
  3. Step 3: Cross multiply
    610,569,921.20x = 842,509,833.72 × 412,761,717.68
  4. Step 4: Simplify right side
    610,569,921.20x = 347,755,806,128,558,400
  5. Step 5: Solve for x
    x = 347,755,806,128,558,400/610,569,921.20
  6. Step 6: Final answer
    x = 569,559,347.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.