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Finding the Fourth Proportional to 648,000.10, 972,000.15 and 585,998.65

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Solution

The fourth proportional to 648,000.10, 972,000.15 and 585,998.65 is: 878,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,000.10 : 972,000.15 = 585,998.65 : x
  2. Step 2: Convert to fraction form
    648,000.10/972,000.15 = 585,998.65/x
  3. Step 3: Cross multiply
    648,000.10x = 972,000.15 × 585,998.65
  4. Step 4: Simplify right side
    648,000.10x = 569,590,775,699.80
  5. Step 5: Solve for x
    x = 569,590,775,699.80/648,000.10
  6. Step 6: Final answer
    x = 878,997.98

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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.