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Finding the Fourth Proportional to 405,870.17, 608,617.59 and 228,377.16

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Solution

The fourth proportional to 405,870.17, 608,617.59 and 228,377.16 is: 342,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,870.17 : 608,617.59 = 228,377.16 : x
  2. Step 2: Convert to fraction form
    405,870.17/608,617.59 = 228,377.16/x
  3. Step 3: Cross multiply
    405,870.17x = 608,617.59 × 228,377.16
  4. Step 4: Simplify right side
    405,870.17x = 138,994,356,730.24
  5. Step 5: Solve for x
    x = 138,994,356,730.24/405,870.17
  6. Step 6: Final answer
    x = 342,460.15

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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.