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Finding the Fourth Proportional to 670,784, 1,005,880.80 and 355,167.20

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Solution

The fourth proportional to 670,784, 1,005,880.80 and 355,167.20 is: 532,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,784 : 1,005,880.80 = 355,167.20 : x
  2. Step 2: Convert to fraction form
    670,784/1,005,880.80 = 355,167.20/x
  3. Step 3: Cross multiply
    670,784x = 1,005,880.80 × 355,167.20
  4. Step 4: Simplify right side
    670,784x = 357,255,867,269.76
  5. Step 5: Solve for x
    x = 357,255,867,269.76/670,784
  6. Step 6: Final answer
    x = 532,594.50

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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.