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Finding the Fourth Proportional to 550,391.51, 824,646.10 and 430,402.12

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Solution

The fourth proportional to 550,391.51, 824,646.10 and 430,402.12 is: 644,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,391.51 : 824,646.10 = 430,402.12 : x
  2. Step 2: Convert to fraction form
    550,391.51/824,646.10 = 430,402.12/x
  3. Step 3: Cross multiply
    550,391.51x = 824,646.10 × 430,402.12
  4. Step 4: Simplify right side
    550,391.51x = 354,929,426,552.11
  5. Step 5: Solve for x
    x = 354,929,426,552.11/550,391.51
  6. Step 6: Final answer
    x = 644,867.20

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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.