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Finding the Fourth Proportional to 409,849,178.72, 565,596,330.72 and 224,206,208.60

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Solution

The fourth proportional to 409,849,178.72, 565,596,330.72 and 224,206,208.60 is: 309,407,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,849,178.72 : 565,596,330.72 = 224,206,208.60 : x
  2. Step 2: Convert to fraction form
    409,849,178.72/565,596,330.72 = 224,206,208.60/x
  3. Step 3: Cross multiply
    409,849,178.72x = 565,596,330.72 × 224,206,208.60
  4. Step 4: Simplify right side
    409,849,178.72x = 126,810,208,908,802,912
  5. Step 5: Solve for x
    x = 126,810,208,908,802,912/409,849,178.72
  6. Step 6: Final answer
    x = 309,407,009.93

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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.