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Finding the Fourth Proportional to 520,595.46, 780,000.90 and 349,496.70

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Solution

The fourth proportional to 520,595.46, 780,000.90 and 349,496.70 is: 523,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,595.46 : 780,000.90 = 349,496.70 : x
  2. Step 2: Convert to fraction form
    520,595.46/780,000.90 = 349,496.70/x
  3. Step 3: Cross multiply
    520,595.46x = 780,000.90 × 349,496.70
  4. Step 4: Simplify right side
    520,595.46x = 272,607,740,547.03
  5. Step 5: Solve for x
    x = 272,607,740,547.03/520,595.46
  6. Step 6: Final answer
    x = 523,646.02

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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.