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Finding the Fourth Proportional to 423,762.30, 584,390.70 and 278,312.22

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Solution

The fourth proportional to 423,762.30, 584,390.70 and 278,312.22 is: 383,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,762.30 : 584,390.70 = 278,312.22 : x
  2. Step 2: Convert to fraction form
    423,762.30/584,390.70 = 278,312.22/x
  3. Step 3: Cross multiply
    423,762.30x = 584,390.70 × 278,312.22
  4. Step 4: Simplify right side
    423,762.30x = 162,643,073,064.35
  5. Step 5: Solve for x
    x = 162,643,073,064.35/423,762.30
  6. Step 6: Final answer
    x = 383,807.32

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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.