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Finding the Fourth Proportional to 1,018,000, 1,404,898.32 and 565,320.16

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Solution

The fourth proportional to 1,018,000, 1,404,898.32 and 565,320.16 is: 780,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,000 : 1,404,898.32 = 565,320.16 : x
  2. Step 2: Convert to fraction form
    1,018,000/1,404,898.32 = 565,320.16/x
  3. Step 3: Cross multiply
    1,018,000x = 1,404,898.32 × 565,320.16
  4. Step 4: Simplify right side
    1,018,000x = 794,217,343,046.13
  5. Step 5: Solve for x
    x = 794,217,343,046.13/1,018,000
  6. Step 6: Final answer
    x = 780,174.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.