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Finding the Fourth Proportional to 308,902,938.40, 463,347,322.80 and 155,507,802.40

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Solution

The fourth proportional to 308,902,938.40, 463,347,322.80 and 155,507,802.40 is: 233,258,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,902,938.40 : 463,347,322.80 = 155,507,802.40 : x
  2. Step 2: Convert to fraction form
    308,902,938.40/463,347,322.80 = 155,507,802.40/x
  3. Step 3: Cross multiply
    308,902,938.40x = 463,347,322.80 × 155,507,802.40
  4. Step 4: Simplify right side
    308,902,938.40x = 72,054,123,916,551,416
  5. Step 5: Solve for x
    x = 72,054,123,916,551,416/308,902,938.40
  6. Step 6: Final answer
    x = 233,258,136.97

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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.