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Finding the Fourth Proportional to 509,369.52, 702,971.64 and 328,458

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Solution

The fourth proportional to 509,369.52, 702,971.64 and 328,458 is: 453,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,369.52 : 702,971.64 = 328,458 : x
  2. Step 2: Convert to fraction form
    509,369.52/702,971.64 = 328,458/x
  3. Step 3: Cross multiply
    509,369.52x = 702,971.64 × 328,458
  4. Step 4: Simplify right side
    509,369.52x = 230,896,658,931.12
  5. Step 5: Solve for x
    x = 230,896,658,931.12/509,369.52
  6. Step 6: Final answer
    x = 453,298.93

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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.