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Finding the Fourth Proportional to 705,031.87, 972,841.30 and 403,167.55

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Solution

The fourth proportional to 705,031.87, 972,841.30 and 403,167.55 is: 556,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,031.87 : 972,841.30 = 403,167.55 : x
  2. Step 2: Convert to fraction form
    705,031.87/972,841.30 = 403,167.55/x
  3. Step 3: Cross multiply
    705,031.87x = 972,841.30 × 403,167.55
  4. Step 4: Simplify right side
    705,031.87x = 392,218,043,459.82
  5. Step 5: Solve for x
    x = 392,218,043,459.82/705,031.87
  6. Step 6: Final answer
    x = 556,312.50

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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.