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Finding the Fourth Proportional to 602,113.74, 830,296.65 and 420,759.19

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Solution

The fourth proportional to 602,113.74, 830,296.65 and 420,759.19 is: 580,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,113.74 : 830,296.65 = 420,759.19 : x
  2. Step 2: Convert to fraction form
    602,113.74/830,296.65 = 420,759.19/x
  3. Step 3: Cross multiply
    602,113.74x = 830,296.65 × 420,759.19
  4. Step 4: Simplify right side
    602,113.74x = 349,354,945,913.71
  5. Step 5: Solve for x
    x = 349,354,945,913.71/602,113.74
  6. Step 6: Final answer
    x = 580,214.21

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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.