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Finding the Fourth Proportional to 527,307.96, 727,681.35 and 285,585

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Solution

The fourth proportional to 527,307.96, 727,681.35 and 285,585 is: 394,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,307.96 : 727,681.35 = 285,585 : x
  2. Step 2: Convert to fraction form
    527,307.96/727,681.35 = 285,585/x
  3. Step 3: Cross multiply
    527,307.96x = 727,681.35 × 285,585
  4. Step 4: Simplify right side
    527,307.96x = 207,814,878,339.75
  5. Step 5: Solve for x
    x = 207,814,878,339.75/527,307.96
  6. Step 6: Final answer
    x = 394,105.33

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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.