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Finding the Fourth Proportional to 710,711.18, 980,686.68 and 456,406.82

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Solution

The fourth proportional to 710,711.18, 980,686.68 and 456,406.82 is: 629,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,711.18 : 980,686.68 = 456,406.82 : x
  2. Step 2: Convert to fraction form
    710,711.18/980,686.68 = 456,406.82/x
  3. Step 3: Cross multiply
    710,711.18x = 980,686.68 × 456,406.82
  4. Step 4: Simplify right side
    710,711.18x = 447,592,089,035.16
  5. Step 5: Solve for x
    x = 447,592,089,035.16/710,711.18
  6. Step 6: Final answer
    x = 629,780.57

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1.5x scale

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.