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Finding the Fourth Proportional to 586,550, 809,430.36 and 344,859.76

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Solution

The fourth proportional to 586,550, 809,430.36 and 344,859.76 is: 475,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,550 : 809,430.36 = 344,859.76 : x
  2. Step 2: Convert to fraction form
    586,550/809,430.36 = 344,859.76/x
  3. Step 3: Cross multiply
    586,550x = 809,430.36 × 344,859.76
  4. Step 4: Simplify right side
    586,550x = 279,139,959,686.31
  5. Step 5: Solve for x
    x = 279,139,959,686.31/586,550
  6. Step 6: Final answer
    x = 475,901.39

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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.