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Finding the Fourth Proportional to 614,360.90, 847,715.29 and 342,369.18

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Solution

The fourth proportional to 614,360.90, 847,715.29 and 342,369.18 is: 472,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,360.90 : 847,715.29 = 342,369.18 : x
  2. Step 2: Convert to fraction form
    614,360.90/847,715.29 = 342,369.18/x
  3. Step 3: Cross multiply
    614,360.90x = 847,715.29 × 342,369.18
  4. Step 4: Simplify right side
    614,360.90x = 290,231,588,710.76
  5. Step 5: Solve for x
    x = 290,231,588,710.76/614,360.90
  6. Step 6: Final answer
    x = 472,412.21

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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.