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Finding the Fourth Proportional to 570,457.84, 855,714.40 and 470,435.40

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Solution

The fourth proportional to 570,457.84, 855,714.40 and 470,435.40 is: 705,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,457.84 : 855,714.40 = 470,435.40 : x
  2. Step 2: Convert to fraction form
    570,457.84/855,714.40 = 470,435.40/x
  3. Step 3: Cross multiply
    570,457.84x = 855,714.40 × 470,435.40
  4. Step 4: Simplify right side
    570,457.84x = 402,558,341,771.19
  5. Step 5: Solve for x
    x = 402,558,341,771.19/570,457.84
  6. Step 6: Final answer
    x = 705,675.89

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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.