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Finding the Fourth Proportional to 521,767.17, 781,075.20 and 471,870.77

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Solution

The fourth proportional to 521,767.17, 781,075.20 and 471,870.77 is: 706,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,767.17 : 781,075.20 = 471,870.77 : x
  2. Step 2: Convert to fraction form
    521,767.17/781,075.20 = 471,870.77/x
  3. Step 3: Cross multiply
    521,767.17x = 781,075.20 × 471,870.77
  4. Step 4: Simplify right side
    521,767.17x = 368,566,553,916.04
  5. Step 5: Solve for x
    x = 368,566,553,916.04/521,767.17
  6. Step 6: Final answer
    x = 706,381.27

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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.