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Finding the Fourth Proportional to 473,999.90, 710,999.85 and 442,895.90

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Solution

The fourth proportional to 473,999.90, 710,999.85 and 442,895.90 is: 664,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,999.90 : 710,999.85 = 442,895.90 : x
  2. Step 2: Convert to fraction form
    473,999.90/710,999.85 = 442,895.90/x
  3. Step 3: Cross multiply
    473,999.90x = 710,999.85 × 442,895.90
  4. Step 4: Simplify right side
    473,999.90x = 314,898,918,465.62
  5. Step 5: Solve for x
    x = 314,898,918,465.62/473,999.90
  6. Step 6: Final answer
    x = 664,343.85

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1.5x scale

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.