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Finding the Fourth Proportional to 917,140, 1,265,653.20 and 514,732

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Solution

The fourth proportional to 917,140, 1,265,653.20 and 514,732 is: 710,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,140 : 1,265,653.20 = 514,732 : x
  2. Step 2: Convert to fraction form
    917,140/1,265,653.20 = 514,732/x
  3. Step 3: Cross multiply
    917,140x = 1,265,653.20 × 514,732
  4. Step 4: Simplify right side
    917,140x = 651,472,202,942.40
  5. Step 5: Solve for x
    x = 651,472,202,942.40/917,140
  6. Step 6: Final answer
    x = 710,330.16

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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.