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Finding the Fourth Proportional to 684,256.32, 944,235.63 and 378,315

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Solution

The fourth proportional to 684,256.32, 944,235.63 and 378,315 is: 522,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,256.32 : 944,235.63 = 378,315 : x
  2. Step 2: Convert to fraction form
    684,256.32/944,235.63 = 378,315/x
  3. Step 3: Cross multiply
    684,256.32x = 944,235.63 × 378,315
  4. Step 4: Simplify right side
    684,256.32x = 357,218,502,363.45
  5. Step 5: Solve for x
    x = 357,218,502,363.45/684,256.32
  6. Step 6: Final answer
    x = 522,053.64

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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.