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Finding the Fourth Proportional to 657,038.98, 906,715.11 and 355,232.98

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Solution

The fourth proportional to 657,038.98, 906,715.11 and 355,232.98 is: 490,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,038.98 : 906,715.11 = 355,232.98 : x
  2. Step 2: Convert to fraction form
    657,038.98/906,715.11 = 355,232.98/x
  3. Step 3: Cross multiply
    657,038.98x = 906,715.11 × 355,232.98
  4. Step 4: Simplify right side
    657,038.98x = 322,095,110,536.33
  5. Step 5: Solve for x
    x = 322,095,110,536.33/657,038.98
  6. Step 6: Final answer
    x = 490,222.22

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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.