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Finding the Fourth Proportional to 657,266, 907,027.40 and 355,459.92

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Solution

The fourth proportional to 657,266, 907,027.40 and 355,459.92 is: 490,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,266 : 907,027.40 = 355,459.92 : x
  2. Step 2: Convert to fraction form
    657,266/907,027.40 = 355,459.92/x
  3. Step 3: Cross multiply
    657,266x = 907,027.40 × 355,459.92
  4. Step 4: Simplify right side
    657,266x = 322,411,887,041.81
  5. Step 5: Solve for x
    x = 322,411,887,041.81/657,266
  6. Step 6: Final answer
    x = 490,534.86

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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.