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Finding the Fourth Proportional to 349,710.40, 524,565.60 and 343,878.40

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Solution

The fourth proportional to 349,710.40, 524,565.60 and 343,878.40 is: 515,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,710.40 : 524,565.60 = 343,878.40 : x
  2. Step 2: Convert to fraction form
    349,710.40/524,565.60 = 343,878.40/x
  3. Step 3: Cross multiply
    349,710.40x = 524,565.60 × 343,878.40
  4. Step 4: Simplify right side
    349,710.40x = 180,386,779,223.04
  5. Step 5: Solve for x
    x = 180,386,779,223.04/349,710.40
  6. Step 6: Final answer
    x = 515,817.60

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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.