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Finding the Fourth Proportional to 256,407,564.48, 353,849,026.56 and 157,343,044.88

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Solution

The fourth proportional to 256,407,564.48, 353,849,026.56 and 157,343,044.88 is: 217,137,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,407,564.48 : 353,849,026.56 = 157,343,044.88 : x
  2. Step 2: Convert to fraction form
    256,407,564.48/353,849,026.56 = 157,343,044.88/x
  3. Step 3: Cross multiply
    256,407,564.48x = 353,849,026.56 × 157,343,044.88
  4. Step 4: Simplify right side
    256,407,564.48x = 55,675,683,266,774,392
  5. Step 5: Solve for x
    x = 55,675,683,266,774,392/256,407,564.48
  6. Step 6: Final answer
    x = 217,137,444.36

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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.