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Finding the Fourth Proportional to 390,447.68, 538,415.52 and 334,045.76

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Solution

The fourth proportional to 390,447.68, 538,415.52 and 334,045.76 is: 460,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,447.68 : 538,415.52 = 334,045.76 : x
  2. Step 2: Convert to fraction form
    390,447.68/538,415.52 = 334,045.76/x
  3. Step 3: Cross multiply
    390,447.68x = 538,415.52 × 334,045.76
  4. Step 4: Simplify right side
    390,447.68x = 179,855,421,574.20
  5. Step 5: Solve for x
    x = 179,855,421,574.20/390,447.68
  6. Step 6: Final answer
    x = 460,638.98

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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.