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Finding the Fourth Proportional to 456,625.40, 630,319.70 and 408,795.71

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Solution

The fourth proportional to 456,625.40, 630,319.70 and 408,795.71 is: 564,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,625.40 : 630,319.70 = 408,795.71 : x
  2. Step 2: Convert to fraction form
    456,625.40/630,319.70 = 408,795.71/x
  3. Step 3: Cross multiply
    456,625.40x = 630,319.70 × 408,795.71
  4. Step 4: Simplify right side
    456,625.40x = 257,671,987,158.88
  5. Step 5: Solve for x
    x = 257,671,987,158.88/456,625.40
  6. Step 6: Final answer
    x = 564,296.23

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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.