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Finding the Fourth Proportional to 229,784.87, 316,880.47 and 153,307.08

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Solution

The fourth proportional to 229,784.87, 316,880.47 and 153,307.08 is: 211,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,784.87 : 316,880.47 = 153,307.08 : x
  2. Step 2: Convert to fraction form
    229,784.87/316,880.47 = 153,307.08/x
  3. Step 3: Cross multiply
    229,784.87x = 316,880.47 × 153,307.08
  4. Step 4: Simplify right side
    229,784.87x = 48,580,019,756.36
  5. Step 5: Solve for x
    x = 48,580,019,756.36/229,784.87
  6. Step 6: Final answer
    x = 211,415.23

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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.