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Finding the Fourth Proportional to 653,537.16, 901,978.74 and 470,381.38

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Solution

The fourth proportional to 653,537.16, 901,978.74 and 470,381.38 is: 649,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,537.16 : 901,978.74 = 470,381.38 : x
  2. Step 2: Convert to fraction form
    653,537.16/901,978.74 = 470,381.38/x
  3. Step 3: Cross multiply
    653,537.16x = 901,978.74 × 470,381.38
  4. Step 4: Simplify right side
    653,537.16x = 424,274,002,196.91
  5. Step 5: Solve for x
    x = 424,274,002,196.91/653,537.16
  6. Step 6: Final answer
    x = 649,196.45

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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.