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Finding the Fourth Proportional to 529,020, 730,047.42 and 287,302.64

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Solution

The fourth proportional to 529,020, 730,047.42 and 287,302.64 is: 396,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,020 : 730,047.42 = 287,302.64 : x
  2. Step 2: Convert to fraction form
    529,020/730,047.42 = 287,302.64/x
  3. Step 3: Cross multiply
    529,020x = 730,047.42 × 287,302.64
  4. Step 4: Simplify right side
    529,020x = 209,744,547,440.95
  5. Step 5: Solve for x
    x = 209,744,547,440.95/529,020
  6. Step 6: Final answer
    x = 396,477.54

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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.