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Finding the Fourth Proportional to 340,152.36, 469,312.85 and 219,363

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Solution

The fourth proportional to 340,152.36, 469,312.85 and 219,363 is: 302,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,152.36 : 469,312.85 = 219,363 : x
  2. Step 2: Convert to fraction form
    340,152.36/469,312.85 = 219,363/x
  3. Step 3: Cross multiply
    340,152.36x = 469,312.85 × 219,363
  4. Step 4: Simplify right side
    340,152.36x = 102,949,873,617.74
  5. Step 5: Solve for x
    x = 102,949,873,617.74/340,152.36
  6. Step 6: Final answer
    x = 302,658.12

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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.