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Finding the Fourth Proportional to 253,692,030.10, 380,538,045.15 and 144,852,913.30

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Solution

The fourth proportional to 253,692,030.10, 380,538,045.15 and 144,852,913.30 is: 217,279,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,692,030.10 : 380,538,045.15 = 144,852,913.30 : x
  2. Step 2: Convert to fraction form
    253,692,030.10/380,538,045.15 = 144,852,913.30/x
  3. Step 3: Cross multiply
    253,692,030.10x = 380,538,045.15 × 144,852,913.30
  4. Step 4: Simplify right side
    253,692,030.10x = 55,122,044,461,464,440
  5. Step 5: Solve for x
    x = 55,122,044,461,464,440/253,692,030.10
  6. Step 6: Final answer
    x = 217,279,369.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.