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Finding the Fourth Proportional to 340,402.91, 510,684.32 and 190,746.50

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Solution

The fourth proportional to 340,402.91, 510,684.32 and 190,746.50 is: 286,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,402.91 : 510,684.32 = 190,746.50 : x
  2. Step 2: Convert to fraction form
    340,402.91/510,684.32 = 190,746.50/x
  3. Step 3: Cross multiply
    340,402.91x = 510,684.32 × 190,746.50
  4. Step 4: Simplify right side
    340,402.91x = 97,411,244,568.32
  5. Step 5: Solve for x
    x = 97,411,244,568.32/340,402.91
  6. Step 6: Final answer
    x = 286,164.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.