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Finding the Fourth Proportional to 475,348.64, 712,543.16 and 297,980.20

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Solution

The fourth proportional to 475,348.64, 712,543.16 and 297,980.20 is: 446,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,348.64 : 712,543.16 = 297,980.20 : x
  2. Step 2: Convert to fraction form
    475,348.64/712,543.16 = 297,980.20/x
  3. Step 3: Cross multiply
    475,348.64x = 712,543.16 × 297,980.20
  4. Step 4: Simplify right side
    475,348.64x = 212,323,754,961.06
  5. Step 5: Solve for x
    x = 212,323,754,961.06/475,348.64
  6. Step 6: Final answer
    x = 446,669.54

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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.