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Finding the Fourth Proportional to 613,348.23, 920,210.59 and 314,038.95

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Solution

The fourth proportional to 613,348.23, 920,210.59 and 314,038.95 is: 471,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,348.23 : 920,210.59 = 314,038.95 : x
  2. Step 2: Convert to fraction form
    613,348.23/920,210.59 = 314,038.95/x
  3. Step 3: Cross multiply
    613,348.23x = 920,210.59 × 314,038.95
  4. Step 4: Simplify right side
    613,348.23x = 288,981,969,580.42
  5. Step 5: Solve for x
    x = 288,981,969,580.42/613,348.23
  6. Step 6: Final answer
    x = 471,154.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.