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Finding the Fourth Proportional to 390,894.16, 538,961.16 and 330,358

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Solution

The fourth proportional to 390,894.16, 538,961.16 and 330,358 is: 455,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,894.16 : 538,961.16 = 330,358 : x
  2. Step 2: Convert to fraction form
    390,894.16/538,961.16 = 330,358/x
  3. Step 3: Cross multiply
    390,894.16x = 538,961.16 × 330,358
  4. Step 4: Simplify right side
    390,894.16x = 178,050,130,895.28
  5. Step 5: Solve for x
    x = 178,050,130,895.28/390,894.16
  6. Step 6: Final answer
    x = 455,494.48

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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.