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Finding the Fourth Proportional to 301,806,005.10, 452,709,007.65 and 209,973,000.30

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Solution

The fourth proportional to 301,806,005.10, 452,709,007.65 and 209,973,000.30 is: 314,959,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806,005.10 : 452,709,007.65 = 209,973,000.30 : x
  2. Step 2: Convert to fraction form
    301,806,005.10/452,709,007.65 = 209,973,000.30/x
  3. Step 3: Cross multiply
    301,806,005.10x = 452,709,007.65 × 209,973,000.30
  4. Step 4: Simplify right side
    301,806,005.10x = 95,056,668,599,106,160
  5. Step 5: Solve for x
    x = 95,056,668,599,106,160/301,806,005.10
  6. Step 6: Final answer
    x = 314,959,500.45

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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.