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Finding the Fourth Proportional to 473,477.30, 709,294.35 and 285,931.70

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Solution

The fourth proportional to 473,477.30, 709,294.35 and 285,931.70 is: 428,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,477.30 : 709,294.35 = 285,931.70 : x
  2. Step 2: Convert to fraction form
    473,477.30/709,294.35 = 285,931.70/x
  3. Step 3: Cross multiply
    473,477.30x = 709,294.35 × 285,931.70
  4. Step 4: Simplify right side
    473,477.30x = 202,809,739,295.90
  5. Step 5: Solve for x
    x = 202,809,739,295.90/473,477.30
  6. Step 6: Final answer
    x = 428,341.00

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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.