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Finding the Fourth Proportional to 538,006.58, 742,420.64 and 308,552

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Solution

The fourth proportional to 538,006.58, 742,420.64 and 308,552 is: 425,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,006.58 : 742,420.64 = 308,552 : x
  2. Step 2: Convert to fraction form
    538,006.58/742,420.64 = 308,552/x
  3. Step 3: Cross multiply
    538,006.58x = 742,420.64 × 308,552
  4. Step 4: Simplify right side
    538,006.58x = 229,075,373,313.28
  5. Step 5: Solve for x
    x = 229,075,373,313.28/538,006.58
  6. Step 6: Final answer
    x = 425,785.45

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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.