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Finding the Fourth Proportional to 640,865.60, 961,298.40 and 357,430.40

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Solution

The fourth proportional to 640,865.60, 961,298.40 and 357,430.40 is: 536,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,865.60 : 961,298.40 = 357,430.40 : x
  2. Step 2: Convert to fraction form
    640,865.60/961,298.40 = 357,430.40/x
  3. Step 3: Cross multiply
    640,865.60x = 961,298.40 × 357,430.40
  4. Step 4: Simplify right side
    640,865.60x = 343,597,271,631.36
  5. Step 5: Solve for x
    x = 343,597,271,631.36/640,865.60
  6. Step 6: Final answer
    x = 536,145.60

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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.