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Finding the Fourth Proportional to 651,402, 898,829.76 and 409,513.20

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Solution

The fourth proportional to 651,402, 898,829.76 and 409,513.20 is: 565,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,402 : 898,829.76 = 409,513.20 : x
  2. Step 2: Convert to fraction form
    651,402/898,829.76 = 409,513.20/x
  3. Step 3: Cross multiply
    651,402x = 898,829.76 × 409,513.20
  4. Step 4: Simplify right side
    651,402x = 368,082,651,272.83
  5. Step 5: Solve for x
    x = 368,082,651,272.83/651,402
  6. Step 6: Final answer
    x = 565,062.21

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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.