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Finding the Fourth Proportional to 707,378.08, 976,030.40 and 420,842.16

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Solution

The fourth proportional to 707,378.08, 976,030.40 and 420,842.16 is: 580,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,378.08 : 976,030.40 = 420,842.16 : x
  2. Step 2: Convert to fraction form
    707,378.08/976,030.40 = 420,842.16/x
  3. Step 3: Cross multiply
    707,378.08x = 976,030.40 × 420,842.16
  4. Step 4: Simplify right side
    707,378.08x = 410,754,741,761.66
  5. Step 5: Solve for x
    x = 410,754,741,761.66/707,378.08
  6. Step 6: Final answer
    x = 580,672.14

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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.