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Finding the Fourth Proportional to 549,377,999.90, 824,066,999.85 and 507,287,872.70

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Solution

The fourth proportional to 549,377,999.90, 824,066,999.85 and 507,287,872.70 is: 760,931,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,377,999.90 : 824,066,999.85 = 507,287,872.70 : x
  2. Step 2: Convert to fraction form
    549,377,999.90/824,066,999.85 = 507,287,872.70/x
  3. Step 3: Cross multiply
    549,377,999.90x = 824,066,999.85 × 507,287,872.70
  4. Step 4: Simplify right side
    549,377,999.90x = 418,039,195,316,177,728
  5. Step 5: Solve for x
    x = 418,039,195,316,177,728/549,377,999.90
  6. Step 6: Final answer
    x = 760,931,809.05

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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.