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Finding the Fourth Proportional to 514,020, 709,721.76 and 412,603.32

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Solution

The fourth proportional to 514,020, 709,721.76 and 412,603.32 is: 569,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,020 : 709,721.76 = 412,603.32 : x
  2. Step 2: Convert to fraction form
    514,020/709,721.76 = 412,603.32/x
  3. Step 3: Cross multiply
    514,020x = 709,721.76 × 412,603.32
  4. Step 4: Simplify right side
    514,020x = 292,833,554,452.24
  5. Step 5: Solve for x
    x = 292,833,554,452.24/514,020
  6. Step 6: Final answer
    x = 569,692.92

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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.