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Finding the Fourth Proportional to 459,109.80, 688,664.70 and 347,135.40

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Solution

The fourth proportional to 459,109.80, 688,664.70 and 347,135.40 is: 520,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,109.80 : 688,664.70 = 347,135.40 : x
  2. Step 2: Convert to fraction form
    459,109.80/688,664.70 = 347,135.40/x
  3. Step 3: Cross multiply
    459,109.80x = 688,664.70 × 347,135.40
  4. Step 4: Simplify right side
    459,109.80x = 239,059,896,100.38
  5. Step 5: Solve for x
    x = 239,059,896,100.38/459,109.80
  6. Step 6: Final answer
    x = 520,703.10

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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.