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Finding the Fourth Proportional to 647,811.60, 971,717.40 and 561,206.40

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Solution

The fourth proportional to 647,811.60, 971,717.40 and 561,206.40 is: 841,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,811.60 : 971,717.40 = 561,206.40 : x
  2. Step 2: Convert to fraction form
    647,811.60/971,717.40 = 561,206.40/x
  3. Step 3: Cross multiply
    647,811.60x = 971,717.40 × 561,206.40
  4. Step 4: Simplify right side
    647,811.60x = 545,334,023,871.36
  5. Step 5: Solve for x
    x = 545,334,023,871.36/647,811.60
  6. Step 6: Final answer
    x = 841,809.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.