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Finding the Fourth Proportional to 527,862.96, 728,460 and 301,510.08

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Solution

The fourth proportional to 527,862.96, 728,460 and 301,510.08 is: 416,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,862.96 : 728,460 = 301,510.08 : x
  2. Step 2: Convert to fraction form
    527,862.96/728,460 = 301,510.08/x
  3. Step 3: Cross multiply
    527,862.96x = 728,460 × 301,510.08
  4. Step 4: Simplify right side
    527,862.96x = 219,638,032,876.80
  5. Step 5: Solve for x
    x = 219,638,032,876.80/527,862.96
  6. Step 6: Final answer
    x = 416,089.12

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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.