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Finding the Fourth Proportional to 429,341.77, 644,307.93 and 148,859.02

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Solution

The fourth proportional to 429,341.77, 644,307.93 and 148,859.02 is: 223,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,341.77 : 644,307.93 = 148,859.02 : x
  2. Step 2: Convert to fraction form
    429,341.77/644,307.93 = 148,859.02/x
  3. Step 3: Cross multiply
    429,341.77x = 644,307.93 × 148,859.02
  4. Step 4: Simplify right side
    429,341.77x = 95,911,047,038.03
  5. Step 5: Solve for x
    x = 95,911,047,038.03/429,341.77
  6. Step 6: Final answer
    x = 223,390.91

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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.