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Finding the Fourth Proportional to 770,478.30, 1,157,029.65 and 547,404.30

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Solution

The fourth proportional to 770,478.30, 1,157,029.65 and 547,404.30 is: 822,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,478.30 : 1,157,029.65 = 547,404.30 : x
  2. Step 2: Convert to fraction form
    770,478.30/1,157,029.65 = 547,404.30/x
  3. Step 3: Cross multiply
    770,478.30x = 1,157,029.65 × 547,404.30
  4. Step 4: Simplify right side
    770,478.30x = 633,363,005,637.50
  5. Step 5: Solve for x
    x = 633,363,005,637.50/770,478.30
  6. Step 6: Final answer
    x = 822,038.73

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Double scale
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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.