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Finding the Fourth Proportional to 657,449, 907,280.40 and 355,643

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Solution

The fourth proportional to 657,449, 907,280.40 and 355,643 is: 490,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,449 : 907,280.40 = 355,643 : x
  2. Step 2: Convert to fraction form
    657,449/907,280.40 = 355,643/x
  3. Step 3: Cross multiply
    657,449x = 907,280.40 × 355,643
  4. Step 4: Simplify right side
    657,449x = 322,667,923,297.20
  5. Step 5: Solve for x
    x = 322,667,923,297.20/657,449
  6. Step 6: Final answer
    x = 490,787.76

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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.