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Finding the Fourth Proportional to 472,505.80, 707,592.30 and 313,875.40

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Solution

The fourth proportional to 472,505.80, 707,592.30 and 313,875.40 is: 470,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,505.80 : 707,592.30 = 313,875.40 : x
  2. Step 2: Convert to fraction form
    472,505.80/707,592.30 = 313,875.40/x
  3. Step 3: Cross multiply
    472,505.80x = 707,592.30 × 313,875.40
  4. Step 4: Simplify right side
    472,505.80x = 222,095,816,199.42
  5. Step 5: Solve for x
    x = 222,095,816,199.42/472,505.80
  6. Step 6: Final answer
    x = 470,038.29

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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.