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Finding the Fourth Proportional to 690,538.96, 953,202.90 and 510,698.31

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Solution

The fourth proportional to 690,538.96, 953,202.90 and 510,698.31 is: 704,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,538.96 : 953,202.90 = 510,698.31 : x
  2. Step 2: Convert to fraction form
    690,538.96/953,202.90 = 510,698.31/x
  3. Step 3: Cross multiply
    690,538.96x = 953,202.90 × 510,698.31
  4. Step 4: Simplify right side
    690,538.96x = 486,799,110,117.10
  5. Step 5: Solve for x
    x = 486,799,110,117.10/690,538.96
  6. Step 6: Final answer
    x = 704,955.32

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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.